I don't have a specific year, just a few articles on regency era naming customs and some free time. This could very well be inaccurate, but we're just having fun here. I didn't do this with middle names in mind, but you can add them if you feel like it.
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DGF: Thomas, Benjamin, Richard, Henry, Peter / Lockhart, Grove, Blackmore
DGM: Katherine, Sarah, Ellen, Alice, Rebecca / Haskett, Selkirk, Vivian
DS1: Samuel, Martin, James, George, Charles
DS2: Matthew, William, John, Gerard, Robert
DD1: Lucy, Margaret, Anne, Frances, Maria
DS3: DGM's maiden name
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DS1:
DW: Priscilla, Susan, Lydia, Jane, Martha / Webb, Taylor, Hervey
DS1: DGF's name
DD1: DGM's name
DD2: Hannah, Harriet, Elizabeth, Mary, Nancy
DD3: Her aunt DD1's name
DS2: Abraham, Alexander, Edward, Christopher, David
DS3: DW's maiden name
DS4: His uncle DS2's name
**
DS2:
**
DD1:
DH: Isaac, Elias, David, Aaron / Cooper, Mullens, Stewart
DD1: Prudence, Dinah, Susannah, Faith, Beulah
DS1: Josias, Hezekiah, Reuben, Honor, Nathaniel
DS2: Abijah, Christmas, Moses, Emanuel, Jethro
DS3: Meshach, Solomon, Ephraim, Levi, Obadiah
DD2: Abigail, Modesty, Grace, Jemima, Hosanna
DD3: Peace, Deborah, Patience, Charity, Dorcas
**
DS3:
DW: Lucy-Anne, Marianne, Helena, Phyllis / St. Clair, Soulden, Colborne
DD1: Belinda, Florentia, Sylvia, Amelia
DD2: Madalene, Sophia, Pamela, Phoebe
DS1: Augustus, Benedict, Peregrine, Morgan
DD3: Clarissa, Louisa, Ophelia, Henrietta
DD4: Cordelia, Olivia, Juliana, Emma
DS2: Albion, Frederick, Percival, Horace
DS3: Gilbert, Ambrose, Jasper, Laurence